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I was really scared when I first looked at this ... I thought it was gonna
keep going to infinity, and I don't know how to handle those.
But this fraction only has 2 or 3 levels to it, so I think we can do it without
too much trouble.
The secret is: You definitely have to start at the bottom and work
your way up.
-- See the bottom level ? It's 2 + 1/3 .
-- Change that number all to an improper fraction, and it's 7/3 .
The reason I want to do that is because it's the denominator of the
next fraction up, and that fraction is (1 over it).
-- The denominator of the next fraction up is 7/3, so 1 over it is just 3/7.
-- Now, before we go up to the top level, it looks like we're supposed to
add the big black ' 1 ' to where we are now ... to the 3/7 .
' 1 ' = 7/7 . Add that to the 3/7, and we have 10/7 .
All we have left now, out of the whole pile, is (1 over 10/7).
And that's just <em>7/10</em>.
